Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
The Atiyah–Bott localization theorem and its virtual analog are important computational tools in enumerative geometry. In quadratic settings, the usual torus localization argument does not directly apply. Marc Levine overcame this difficulty for schemes by replacing the torus action with the action of the normalizer N of the torus in SL_2 for schemes. In this talk, I will discuss recent joint work with Marc Levine extending these ideas to algebraic stacks with N-action: we prove a concentration theorem in equivariant Witt theory for algebraic stacks and a virtual localization formula for quasi-smooth derived Deligne–Mumford stacks.